Flag (geometry)

Flag (geometry)

In geometry a flag is a connected set of elements from each dimensionality of a polygon, polyhedron, or higher polytope. For example, a flag of a polygon comprises one corner and one connecting side. A flag of a polyhedron comprises one vertex, one connected edge and one connected face.

The symmetry group of a regular polygon, polyhedron, or higher polytope is transitive on its flags.

References

* Peter R. Cromwell, "Polyhedra", Cambridge University Press 1997, ISBN 9-521-55432-2


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